Best example of what MLK was taking about:
Vote totals for Civil Rights Act
Totals are in "Yes-No" format:
The original House version: 290-130 (69%-31%)
The Senate version: 73-27 (73%-27%)
The Senate version, as voted on by the House: 289-126 (70%-30%)
[edit] By party
The original House version:
Democratic Party: 164-96 (64%-39%)
Republican Party: 138-34 (80%-20%)
The Senate version:
Democratic Party: 46-22 (68%-32%)
Republican Party: 27-6 (82%-18%)
The Senate version, voted on by the House:
Democratic Party: 153-91 (63%-37%)
Republican Party: 186-35 (80%-20%)
http://en.wikipedia.org/wiki/Civil_Rights_Act_of_1964